MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

What is Ha?

Choice Answers:

1. The mean of group 1 is not the same as the mean of group 2
 
2. The mean of group 1 is the same as the mean of group 2
 
3. The number of errors for 8 hours sleep deprivation is different than the number of errors for 24 hours sleep deprivation
 
4. The number of errors for 8 hours sleep deprivation is equal to the number of errors for 24 hours sleep deprivation
 
5. The number of errors for 8 hours sleep deprivation is not different than the number of errors for 24 hours sleep deprivation
 
6. The number of errors for 8 hours sleep deprivation is not equal to the number of errors for 24 hours sleep deprivation
 
7. The number of errors for 8 hours sleep deprivation is not the same as the number of errors for 24 hours sleep deprivation
 
8. The number of errors for 8 hours sleep deprivation is the same as the number of errors for 24 hours sleep deprivation
### Paired Samples Analysis

#### Paired Samples Statistics
This section presents the statistics for errors made after different durations of sleep deprivation:

- **Errors after 8 hours sleep deprivation**: 
  - Mean = 6.75
  - Sample Size (N) = 20
  - Standard Deviation = 2.124
  - Standard Error Mean = 0.475

- **Errors after 24 hours sleep deprivation**:
  - Mean = 13.90
  - Sample Size (N) = 20
  - Standard Deviation = 2.024
  - Standard Error Mean = 0.452

#### Paired Samples Correlations
This analysis shows the correlation between errors after 8 hours and 24 hours of sleep deprivation:

- **Correlation (r) = -0.263**
- Sample Size (N) = 20
- Significance (One-Sided p) = 0.131
- Significance (Two-Sided p) = 0.262

A negative correlation indicates an inverse relationship, but it is not statistically significant.

#### Paired Samples Test
This test compares the mean difference of errors between the two conditions:

- **Mean of Differences = -7.150**
- Standard Deviation of Differences = 3.297
- Standard Error Mean = 0.737
- 95% Confidence Interval of the Difference: Lower = -8.693, Upper = -5.607
- **t-value** = -9.698
- Degrees of Freedom (df) = 19
- Significance:
  - One-Sided p < 0.001
  - Two-Sided p < 0.001

The results indicate a highly significant difference in the number of errors, with fewer errors after 8 hours of sleep deprivation compared to 24 hours.

#### Paired Samples Effect Sizes
This section provides the effect sizes with two metrics:

- **Cohen's d**:
  - Standardizer = 3.297
  - Point Estimate = -2.169
  - 95% Confidence Interval: Lower = -2.972, Upper = -1.348

- **Hedges' correction**:
  - Standardizer = 3.364
  - Point Estimate = -2.125
  - 95% Confidence Interval: Lower = -2.913, Upper = -1.321

C
expand button
Transcribed Image Text:### Paired Samples Analysis #### Paired Samples Statistics This section presents the statistics for errors made after different durations of sleep deprivation: - **Errors after 8 hours sleep deprivation**: - Mean = 6.75 - Sample Size (N) = 20 - Standard Deviation = 2.124 - Standard Error Mean = 0.475 - **Errors after 24 hours sleep deprivation**: - Mean = 13.90 - Sample Size (N) = 20 - Standard Deviation = 2.024 - Standard Error Mean = 0.452 #### Paired Samples Correlations This analysis shows the correlation between errors after 8 hours and 24 hours of sleep deprivation: - **Correlation (r) = -0.263** - Sample Size (N) = 20 - Significance (One-Sided p) = 0.131 - Significance (Two-Sided p) = 0.262 A negative correlation indicates an inverse relationship, but it is not statistically significant. #### Paired Samples Test This test compares the mean difference of errors between the two conditions: - **Mean of Differences = -7.150** - Standard Deviation of Differences = 3.297 - Standard Error Mean = 0.737 - 95% Confidence Interval of the Difference: Lower = -8.693, Upper = -5.607 - **t-value** = -9.698 - Degrees of Freedom (df) = 19 - Significance: - One-Sided p < 0.001 - Two-Sided p < 0.001 The results indicate a highly significant difference in the number of errors, with fewer errors after 8 hours of sleep deprivation compared to 24 hours. #### Paired Samples Effect Sizes This section provides the effect sizes with two metrics: - **Cohen's d**: - Standardizer = 3.297 - Point Estimate = -2.169 - 95% Confidence Interval: Lower = -2.972, Upper = -1.348 - **Hedges' correction**: - Standardizer = 3.364 - Point Estimate = -2.125 - 95% Confidence Interval: Lower = -2.913, Upper = -1.321 C
Expert Solution
Check Mark
Step 1

Given :

Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman